λ
Prime Ledger

4,062,184

23 × 7 × 172 × 251
Abundant Even Composite

4,062,184 has the prime decomposition 2^3 × 7 × 17^2 × 251. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 17^2 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,283,680
Proper Divisor Sum 5,221,496
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4062161 ← → #4062197

Radix Representation

Decimal 4062184
Binary 1111011111101111101000 (22 bits)
Octal 0o17375750
Hexadecimal 0x3DFBE8

Divisor Catalog (48)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 251 289 476 502 578 952 1,004 1,156 1,757 2,008 2,023 2,312 3,514 4,046 4,267 7,028 8,092 8,534 14,056 16,184 17,068 29,869 34,136 59,738 72,539 119,476 145,078 238,952 290,156 507,773 580,312 1,015,546 2,031,092 4,062,184

Collatz Trajectory (84 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,062,184 2,031,092 1,015,546 507,773 1,523,320 761,660 380,830 190,415 571,246 285,623 856,870 428,435 1,285,306 642,653 1,927,960 963,980 481,990 240,995 722,986 361,493 1,084,480 542,240 271,120 135,560 67,780 33,890 16,945 50,836 25,418 12,709 38,128 19,064 9,532 4,766 2,383 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300

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